at BELLE and BABAR. Mikihiko Nakao (KEK) June 16th, 26, SUSY6, Newport Beach, CA mikihiko.nakao@kek.jp.
Huge number of coherent / energy-asymmetric BB production at Y(4S) slow π e / µ K B or B (flavor tag) J/ψ (e + e / µ + µ ) CKM Matrix V CKM = V ud V cd V us V cs V ub V cb Unitarity (V ub * V ud +V cb * V cd + V tb * V td = ) Mikihiko Nakao p.2 e (8 or 9 GeV) A CP ( t) = B B B + B Penguins b V * qb e + (3.5 or 3.1 GeV) W ± u,c,t V qs more B s,d b t = z = π ν z measurement t = z / c β γ more B???? Y X s,d Reconstruction (CP eigenstate) K S (π + π ) sin2φ1 or sin2β Experimetnal dilution B πlν, ρlν, B X u lν, etc V ud V ub * B DK, B Dπ, etc V td φ 3 V ts φ 2 V tb Non-zero area = CP violation Phase? B ππ, ρπ,ρρ, etc V cb *V cd V tb *V td m, B ργ, etc Triangle φ 1 B J/ψK S, etc B D (*) lν,b X c lν Time-dependent CP violation (sine) / Direct CPV (cosine) Rare decays (penguins) sensitivity to new physics!
Integrated Luminosity (pb -1 ) Mikihiko Nakao p.3 Integrated Luminosity (pb -1 ) (/day) 26/6/7 7.23 x 1 2 all data, on resonance, off resonance, energy scan 6 5 4 3 2 1 4/23/1999 3/9/21 1/24/23 12/1/24 1/27/26 Belle log total : 65431 pb -1 Date Peak (world highest) L > 1.6 1 34 cm 2 s 1 > 6 fb 1 collected ( 6 M BB) Analyzed up to 414 fb 1 (will update at ICHEP6)
Mikihiko Nakao p.4 Peak L > 1. 1 34 cm 2 s 1 > 35 fb 1 collected ( 35 M BB) Analyzed up to 211 fb 1 (will update at ICHEP6)
Mikihiko Nakao p.5 Comparisons with precisely known SM (this talk) CP phase in penguins: φ 1 /β in b s vs b c Radiative and leptonic decays: B X s γ, B τν,... Wilson Coefficients from b sl + l Unitarity triangle
Mikihiko Nakao p.5 Comparisons with precisely known SM (this talk) CP phase in penguins: φ 1 /β in b s vs b c Radiative and leptonic decays: B X s γ, B τν,... Wilson Coefficients from b sl + l Unitarity triangle Prohibited/heavily suppressed cases in SM (not in this talk) Lepton flavor violation (τ physics): τ µγ,... c u FCNC (charm physics): D -D mixing, CPV,...
Mikihiko Nakao p.5 Comparisons with precisely known SM (this talk) CP phase in penguins: φ 1 /β in b s vs b c Radiative and leptonic decays: B X s γ, B τν,... Wilson Coefficients from b sl + l Unitarity triangle Prohibited/heavily suppressed cases in SM (not in this talk) Lepton flavor violation (τ physics): τ µγ,... c u FCNC (charm physics): D -D mixing, CPV,... Right handed b sγ coupling: t-dep. CPV in B K S π γ Dramatically enhanced cases with new physics (not in this talk) B Kµ + µ /B Ke + e for large tan β,... Deviations from reasonably known SM (not in this talk) Longitudinal polarization fraction of charmless B VV Factorization, etc: e.g. A CP (B K + π ) vs A CP (B K + π )
Mikihiko Nakao p.6 Penguins dummy text dummy text dummy text dummy text
W ± H ± χ ± b V * qb V qs s b V *?? V?? s b V *?? V?? s Mikihiko Nakao p.7 u,c,t u,c,t Flavor Changing Neutral Current: indirect search for non-sm contributions No SM tree diagram: new physics can compete Branching fraction? b sγ, b sl + l ~ ~ ~ u,c,t CP phase? comparison with SM sin 2(φ 1 /β) from b c SUSY: flavor structure? Minimal flavor violation (CKM like SUSY)? Large SUSY phase (new flavor structure)? Sensitivity beyond TeV scale: scenarios other than SUSY?
A CP ( t) = Γ(B f CP ) Γ(B f CP ) Γ(B f CP ) + Γ(B f CP ) = ξ f S sin( m t)+a cos( m t) [or C cos( m t)] If no new phase, S from b s = sin 2(φ 1 /β) from b c Mikihiko Nakao p.8 Pure b sss (no tree): B φk, B K S K S K d B More modes b qqs: b B η K, B f K, B π K, B π π K, B ωk, B ρ K, B K + K K V * td t V tb V tb t V * td b V * tb t W V ts s s s d φ K Corrections: non-zero SM phases u-loop penguin (V ub ), b uus (V ub, tree) Predictions: deviation is not large and positive
Mikihiko Nakao p.9 Raw Asymmetry 1.5 -.5-1 1.5 -.5-1 -7.5 Belle B φk S Belle B φk L -5-2.5 2.5 5 t(ps) 7.5 Asymmetry (ξ f = 1 for φk S, ξ f = +1 for φk L ) BaBar B φk S BaBar B φk L -6-4 -2 2 4 6 t (ps) Belle S =.44 ±.27 ±.5 A =.14 ±.17 ±.7 BaBar S =.5 ±.25 ±.6 A =. ±.23 ±.5 HFAG S =.47 ±.19 A =.9 ±.14 Heavy Flavor Averaging Group Belle s S used to be 1: now Belle/BaBar in agreement 1σ below sin 2(φ 1 /β) = S ccs =.69 ±.3 Golden mode: small extra SM phase
Mikihiko Nakao p.1 Raw Asymmetry 1.5 -.5-1 1.5 -.5-1 -7.5-5 -2.5 2.5 5 7.5 Belle B η K S Belle B η K L t(ps) Asymmetry (ξ f = 1 for η K S, ξ f = +1 for η K L ).5 -.5 1-1 BaBar B η K S BaBar B η K L -1-5 5 1 t (ps) Belle S =.62 ±.12 ±.4 A =.4 ±.8 ±.6 BaBar S =.36 ±.13 ±.3 A =.16 ±.9 ±.2 HFAG S =.5 ±.9 A =.7 ±.7 Naive average is 2σ below sin 2(φ 1 /β) = S ccs =.69 ±.3 High statistics: second Golden mode
Mikihiko Nakao p.11 b ccs η K φ K f K S ω K π S K S π π K S K + K - K ρ K S K S K S K S HFAG Moriond 26 HFAG HFAG Moriond 26 HFAG Moriond HFAG 26 HFAG Moriond 26 Moriond HFAG 2 Moriond 26 World Average.69 ±.3 BaBar.5 ±.25 +. 7 -. 4 Belle.44 ±.27 ±.5 Average.47 ±.19 BaBar.36 ±.13 ±.3 Belle.62 ±.12 ±.4 Average.5 ±.9 BaBar.95 +. 23 -. 32 ±.1 Belle.47 ±.36 ±.8 Average.75 ±.24 BaBar.35 +. 3 -. 33 ±.4 Belle.22 ±.47 ±.8 Average.31 ±.26 BaBar -.84 ±.71 ±.8 Average -.84 ±.71 BaBar.51 +. 35 -. 39 ±.2 Moriond 26 HFAG HFAG Moriond 26 Moriond 26 HFAG Moriond 26 PRELIMINARY Belle.95 ±.53 + -. 12. 15 Average.64 ±.3 BaBar.17 ±.52 ±.26 Average.17 ±.58 BaBar.41 ±.18 ±.7 ±.11 Belle.6 ±.18 ±.4 + - Average.51 ±.14 + - BaBar.63 +. 28 -. 3. 19 2. 11. 8 2 ±.4 Belle.58 ±.36 ±.8 Average.61 ±.23-3 -2-1 1 2 3 S b s sin 2(φ 1 /β) eff In general, Agree with SM Lower than SM? Summer 6 update will be soon there!
Mikihiko Nakao p.12 Leptonic and Radiative B Decays e.g. charged Higgs
Mikihiko Nakao p.13 b u V * ub B(B τ ν τ ) = W ( G 2 F m Bm 2 )2 τ 8π τ ν f 2 B V ub 2 τ B Signal: full recon of other B (ɛ =.3%) τ (µνν, eνν, πν, ππ ν, πππν) no extra energy in calorimeter B(B τ ν τ ) = (1.6 +.34.28 Events /.1 GeV 5 4 3 2 1 Belle.5 1 21.2 +6.7 5.7 E ECL (GeV) events, 4.2σ +.18.16 ) 1 4 (preliminary) (cf. SM: (1.59 ±.4) 1 4 )
2 b H? τ 1.5 u ν r H 1.5 2σ allowed Mikihiko Nakao p.14 B(B τ ν τ ) = B SM (B τ ν τ ) r H r H = ( 1 m2 B m 2 H tan 2 β )2 =.67 +.29.26 Direct measurement of tan β/m H + will be possible if r H 1! Large area of m H -tan β space is excluded! Current uncertainties: B (18%), f B (1%), V ub (8%) ) 2 Mass (GeV/c ± H 3 25 2 15 1.1.2.3 tan β / m 6 Belle 447 1 LEP Excluded (95% C.L.) 5 2 4 6 8 1 tan β ± BB (95.5% C.L.) excluded Tevatron Run I Excluded (95% C.L.)
Mikihiko Nakao p.15 Many constraints to new physics E γ cut is needed (1.8 2. GeV) Extrapolated to E min γ (1.6 GeV) Recently model error reduced to 1% with HQE parameters from spectra -1 CLEO [9.1 fb ] PRL87,25187(21) -1 BaBar [81.5 fb ] PRD72,524(25) -1 BaBar [81.5 fb ] hep-ex/571-1 Belle [5.8 fb ] PLB511,151(21) -1 Belle [14 fb ] PRL93,6183(24) Average HFAG hep-ex/633 Buras Czarnecki Misiak Urban (NPB631:219,22) 2 3 4 5 6-4 BF(B X s γ)x1-4 (3.29±.53)x1 +.62 )x1-4 (3.35 -.51-4 (3.92±.57)x1-4 (3.69±.95)x1-4 (3.5±.44)x1-4 (3.55±.26)x1 Branching Fraction / 1 MeV.2 1 B(B X s γ; E γ > 1.6 GeV) = (355 ± 24 +9 1.15.1.5-3 Events/1 MeV 25 2 15 1 5 Belle -5 1.5 2 2.5 3 3.5 4 E* γ [GeV] Data Kinetic scheme Shape Function scheme BABAR -.5 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 E γ (GeV) ± 3) 1 6 Very consistent with NLO SM expectations, e.g., (357 ± 3) 1 6
Mikihiko Nakao p.16 m H + bounds as a function of B and δb (5 year old plot) σ (BR γ exp ) x 1 4.5.45.4.35.3 7 1 5 4 35 Moriond 21 3 25 hep-ex/1832 M H >2 GeV TODAY! 2.8 3 3.2 3.4 3.6 3.8 exp 4 BR γ x 1 Lower limit on type-ii charged Higgs mass for any tan β m H+ > 3 GeV (if no other destructive SUSY amplitudes) Previous limit was higher since the measured rate was lower than prediction (This plot is made for B th = 3.73 ±.31) Expected improvements: Measurements: more data (current results are based on 1/4 of full dataset for both Belle/BaBar) Theory: NNLO calculations are coming
Mikihiko Nakao p.17 Wilson Coefficients from Electroweak B Decays
H eff = 4G F V 2 ts V 1 tb i=1 C O 7 EM penguin operator io i O 9 semileptonic vector operator O 1 semileptonic axial-vector operator Mikihiko Nakao p.18 b b sγ t γ t γ / Z s b s b t s C 7 C 7, C 9, C 1 Γ(b sγ) = G2 F α emm 5 b 32π 4 l + l V tsv tb 2 ( C eff 7 2 + 1/m b, 1/m c corr. ) W W ν l + l b sl + l (ŝ = q 2 /m 2 b ) dγ(b sl + l ) dŝ [ (1 + 2ŝ) ( ( C eff 9 2 + C eff 1 2) + 4 1 + ŝ ) C eff 7 2 2 + 12Re ( ) ] C eff 7 Ceff 9 + corr. New physics may drastically change Wilson coefficients: C i C SM i Measurements can diagnose type of new physics + C NP i
Xs l+l- Entries/(.33GeV/c 2 ) 8 6 4 Entries/bin 25 2 15 1 (a) Entries/bin 3 25 2 15 1 (b) Mikihiko Nakao p.19 2 5.2 5.22 5.24 5.26 5.28 5.3 M bc (GeV/c 2 ) 5.4.6.8 1 1.2 1.4 1.6 1.8 2 M xs (GeV/c2) Belle B(B X s l + l ) = (4.11 ±.83 +.85).81 1 6 BaBar B(B X s l + l ) = (5.6 ± 1.5 ± 1.3) 1 6 HFAG B(B X s l + l ) = (4.5 +1.3 1.1 ) 1 6 SM: (4.2 ±.7) 1 6 eff C 1,NP 15 12 9 6 3 5 5 1 15 2 25 q2 (GeV/c)2 allowed (9% CL) C 9 and C 1 from B(B X s l + l ) (with C 7 from B(B X s γ)) - 3 SM - 12-9 - 6-3 3 eff C 9,NP
Mikihiko Nakao p.2 Forward-backward asymmetry (A FB ) in b sl + l due to interference between γ and weak couplings A FB (bkg-sub) 1.5 -.5-1 A FB (B K l + l ) = C 1 ξ(q 2 ) C 9,C 1 sign-flipped C 1 sign-flipped C 9 sign-flipped best-fit 2 4 6 8 1 12 14 16 18 2 q 2 GeV 2 /c 2 Belle A FB =.5 ±.15 ±.2 (3.4σ) (best-fit is SM-like) A FB B l+l- rest frame l+ [Re(C 9 )F 1 + 1q 2C 7F 2 ] l- 1.8.6.4.2 - -.2 -.4 -.6 -.8-1 2 4 6 8 1 12 2 4 q 2 (GeV /c ) 14 16 18 2 BaBar A FB B l- l+ >.55 (95% CL) (first bin excludes SM at 2σ?)
Mikihiko Nakao p.21 Fit with A 9 /A 7 and A 1 /A 7 (A i is leading term of C i ) A 9 /A 7 = 15.3 +3.4 ± 1.1 4.8 (SM: -12.3) best fit in quadrant II A 1 /A 7 = +1.3 +5.2 ± 1.8 3.5 (SM: +12.8) (SM-like) A 7 =.33 (fixed) 14. 1 2 < A 9A 1 A 2 7 < 26.4 A 9 A 1 is negative at 98.2% CL A 1 /A 7 4 2-2 Large new physics parameter space is excluded -4 4σ 5σ 3σ best fit 2σ 1σ (a) negative A 7 SM -4-2 2 4 A 9 /A 7
Mikihiko Nakao p.22 A FB 1.75.5.25 -.25 -.5 -.75-1 MC 5 ab 1 2.5 5 7.5 1 12.5 15 17.5 2 q 2 GeV 2 /c 2 With 5 ab 1, δa 9 /A 9 11%, δa 1 /A 1 13% (now 2 5%) C 9, C 1 flip case (or SM-like case) will be excluded With 5 ab 1, δa 9 /A 9 δa 1 /A 1 4%
Mikihiko Nakao p.23 CKM Matrix V CKM = V ud V cd V td Status of Unitary Triangle V us V cs V ts V ub V cb V tb Unitarity (V ub * V ud +V cb * V cd + V tb * V td = ) B πlν, ρlν, B X u lν, etc V ud V ub * B DK, B Dπ, etc φ 3 φ 2 B ππ, ρπ,ρρ, etc Non-zero area = CP violation V cb *V cd V tb *V td m, B ργ, etc φ 1 B J/ψK S, etc B D (*) lν,b X c lν
Mikihiko Nakao p.24 d B b V * td t V tb V tb t V * td BaBar b PRL 94, 16183 (25) Belle hep-ex/5737 Average HFAG V * cb V cs sin(2β)/sin(2φ 1 ) c J/ψ, ψ,... c s K.722 ±.4 ±.23.652 ±.39 ±.2 d.685 ±.32.5.6.7.8 d B b V * td t V tb V tb t V * td b u, c, V * qb t V qs c J/ψ, ψ,... c s K d No CP phase unless q=u Golden mode: B J/ψK more modes: ψ K S, χ c1k S, η ck S, J/ψK φ 1 /β = (21.7 +1.3 1.2 ) 2-fold ambiguity resolved by cos 2(φ 1/β) using B D π Dalitz and B J/ψK angular analysis
d B b V * td t V tb V tb t V * td b V * ub V ud u d u d π + / ρ + π / ρ d B b V * td t V tb V tb t V * td b V * qb u, c, t V qs d u u d π + / ρ + π / ρ Mikihiko Nakao p.25 (isospin analysis) Belle B ρρ: φ 2 = (88 ± 17) BaBar B ρρ: α = (1 ± 13) B ππ: not stringent bound due to large penguin (Dalitz analysis) BaBar B ρπ: α = (113 +27 17 ± 6) 1 CL 1.2 1.8.6.4 C K M f i t t e r FPCP 6 CKM fit no α meas. in fit Different weak phase (if not a u-loop) B ππ B ρπ B ρρ WA Combined all info combined: φ 2 /α = (1.2 +15..2 8.8 ) 2 4 6 8 1 12 14 16 18 α (deg)
Mikihiko Nakao p.26 b B + u V * cb V us s K + u c D u s d u d d u K S Phase of tree (V ub ): direct CPV π π + B DK, D K ππ Dalitz S Ratio of two amplitudes: r B b B + u V * ub r V cs.3.2 u D c s + K u Belle D K u d d u d s π π + K S Strong phase difference: δ B Weak phase diff.: φ 3 /γ.1 1 2 3 φ 3 (degrees) combined for D K, D K and D K, need great care to average Belle/BaBar φ 3 = (53 +15 18 ± 3 ± 9) Belle 386 MBB hep-ex/6454 γ = (67 ± 28 ± 13 ± 11) BaBar 223 MBB hep-ex/5711
Heavy Quark Expansion in 1/m b and α S Γ(B X c l ν) = G2 F m5 b 192π 3 V cb 2 [(1 + A EW )A nonpert A pert ] Mikihiko Nakao p.27 E l and M X spectra moments HQE parameters (m b, µ 2 π,... ) These are universal and can be measured from B X s γ, too! Global fit with Kinetic scheme (hep-ph/57253) m b = 4.59 ±.25 ±.3 GeV (b quark mass) µ 2 π =.41 ±.19 ±.35 GeV 2 (Fermi mom.) 2 V cb = (41.96 ±.23 ±.35 ±.59) 1 3 B X s γ only From both B X c l ν only (exp) (HQE) (ΓSL) 2% precision in V cb!
Limited E l, q 2 and M X range can be measured (huge B X c l ν) Model (extrapolation): shape function (BLNP), dressed gluon (DGE),... Mikihiko Nakao p.28 CLEO (endpoint) 4.9 ±.48 ±.36 BELLE (endpoint) 4.82 ±.45 ±.3 BABAR (endpoint) 4.41 ±.29 ±.31 BABAR (E, q 2 ) e 4.1 ±.27 ±.36 BELLE m X 4.6 ±.27 ±.24 BELLE sim. ann. (m, q 2 ) X 4.37 ±.46 ±.29 BABAR (m, q 2 ) X 4.75 ±.35 ±.32 Average +/- exp +/- (mb,theory) 4.45 ±.2 ±.26 χ 2 /dof = 5.5/ 6 (CL = 48.7) OPE-HQET-SCET (BLNP) Phys.Rev.D72:736,25 input from b c l ν and b s γ moments m b HFAG Winter 26 2 4 6-3 V [ 1 ] ub 2 4 6 HFAG Ave. (BLNP) 4.45 ±.2 ±.26 HFAG Ave. (DGE) 4.41 ±.2 ±.2 BABAR (LLR) hep-ph/6146 4.43 ±.45 ±.29 3 4 5 V ub [ 1 V ub = (4.4 ±.3) 1 3, 7% error V ub from exclusive: 2% error, no attempt to combine so far HFAG Winter 26-3 ]
Mikihiko Nakao p.29 Similar to b sγ in SM but new physics could be quite different First b dγ observation by Belle (B ρ γ, B ρ γ, B ωγ combined) Entries/(2 MeV) 1 5 B (ρ,ω)γ -.4 -.2.2.4 E (GeV) B(B (ρ, ω)γ) = (1.32 +.34.31 V td V ts =.199 +.26.25 ) 2 Entries/(2 MeV/c 2 15 1 5 +.1.9 ) 1 6 +.18.15 (independent check of V td besides B s mixing, V td /V ts =.28 +.8.7 from m s) B (ρ,ω)γ 5.2 5.22 5.24 5.26 5.28 5.3 2 (GeV/c ) η M bc 1.5 -.5 95% prob. intervals BR(B ρ γ) * BR(B K γ) m d m s -1-1 -.5.5 1
Mikihiko Nakao p.3 η 1.5 -.5-1 ε K β UTfit group V ub V cb m -1 -.5.5 1 γ m d s α md Beautiful consistency with CKM! ρ η 1.5 1.5 -.5-1 excluded area has CL >.95 sin 2φ 1 ε K V ub /V cb C K M f i t t e r FPCP 6 CKM fitter group φ 2 φ 3 φ 3 φ 3 φ 2 excluded at CL >.95 sol. w/ cos 2φ 1 < (excl. at CL >.95) -1.5-1 -.5.5 1 1.5 2 ρ φ1 φ 2 m d m s & m d All 3 angles / 3 sides are there just need to reduce errors The largest possible deviation between φ 1 /β and V ub ε K
SuperKEKB LoI 1 φ 3 Mikihiko Nakao p.31 η -1 V ub /V cb? C K M f i t t e r p a c k a g e m d φ 2 sin2φ 1-1 1 2 ρ 5 ab 1 at Super-B real precision test of consistency Many programs at (Super)B-Factory
SuperKEKB LoI SuperKEKB LoI with S φk =.5 1 φ 3 1 φ 3 Mikihiko Nakao p.31 η -1 V ub /V cb? C K M f i t t e r p a c k a g e m d φ 2 sin2φ 1 η or -1 V ub /V cb!!!? C K M f i t t e r p a c k a g e m d φ 2 sin2φ 1-1 1 2 ρ -1 1 2 ρ 5 ab 1 at Super-B real precision test of consistency Many programs at (Super)B-Factory flavor structure of new physics may be very rich!
Backup slides Mikihiko Nakao p.32
Mikihiko Nakao p.33 Huge amount of clean B and B + decays Sensitive to very rare decays (O(1 7 ) branching fractions) Detailed study of rare decays (O(1 5 ) branching fractions) Precision measurements of decays (O(1 3 ) branching fractions) Time-dependent CP violation Dalitz analysis very new! (δz and flavor-tag) Full-reconstruction (B beam) (need lot of L) All final state particles (π, K, e, µ, p, γ (π ), K L, even ν!) Variety of B decay measurements for new physics hunting
Mikihiko Nakao p.34 φ K f K S η K π K S π π K S ω K S ρ K S K + K - K K S K S K S HFAG Moriond 26 HFAG f HFAG HFAG HFAG HFAG HFAG Moriond 26 Moriond 26 Moriond 26 BaBar. ±.23 ±.5 Belle -.14 ±.17 ±.7 Average -.9 ±.14 BaBar -.16 ±.9 ±.2 Belle.4 ±.8 ±.6 Average -.7 ±.7 BaBar -.24 ±.31 ±.15 Belle.23 ±.23 ±.13 Average.6 ±.21 BaBar.6 ±.18 ±.3 Belle -.11 ±.18 ±.8 Average -.2 ±.13 BaBar.27 ±.52 ±.13 Average.27 ±.54 BaBar -.55 +. 28 -. 26 ±.3 Belle -.19 ±.39 ±.13 Average -.44 ±.23 BaBar.64 ±.41 ±.25 Average.64 ±.48 BaBar.23 ±.12 ±.7 Belle.6 ±.11 ±.7 Average.14 ±.1 BaBar -.1 ±.25 ±.5 Belle -.5 ±.23 ±.6 Average -.31 ±.17 Moriond 26 Moriond 26 HFAG Moriond 26-1.8-1.6-1.4-1.2-1 -.8 -.6 -.4 -.2.2.4.6.8 1 1.2 1.4 1.6 1.8 f HFAG Moriond 26 Moriond 26 PRELIMINARY C b s
Mikihiko Nakao p.35 cos 2(φ 1 /β) from B J/ψK angular analysis (mixed CP) cos 2φ 1 =.56 ±.79 ±.11 (Belle 275 MBB, PRL95,9161(25)) cos 2β = 3.32 +.76.96 ±.27 (BaBar 88 MBB, PRD71,325(25)) cos 2φ 1 from B D π with D K ππ Dalitz analysis S cos 2φ 1 = 1.87 +.4 +.22.53.32 (Belle 386 MBB hep-ex/6523) η.8.6.4.2 φ 1 /β = (21.7 +1.3 1.2 ) 1 β/φ 1 β/φ 1 = (68.3 + - 1 1.. 2 3) β/φ 1 = (21.7 + - 1 1.. 3 2) -.2 -.2.2.4.6.8 1 H F A G H F A G LP 25 PRELIMINARY DISFAVOURED BY J/ψK* & Dh ρ
Mikihiko Nakao p.36 r.3.2.1 1 2 3 φ 3 (degrees) a) 1 (deg) γ -1 r B.1.2.3.4 Dalitz analysis of B D ( ) K ( ), D K S π+ π, to disentangle φ 3 /γ, δ and r B altogether (Many other proposed methods, none of them are as powerful) combined for D K, D K and D K φ 3 = (53 +15 ± 3 ± 9) γ = (67 ± 28 ± 13 ± 11)
Inclusive B X u l ν Rate can be directly converted into V ub Huge B X c l ν Mikihiko Nakao p.37 Limited q 2 and M X range can be measured Cut variables: E l (endpoint), M X, q 2,... Model (extrapolation): shape function (SF), dressed gluon (DGE),... Exclusive B πl ν, B ρl ν, B ωl ν Clear signal, full q 2 range (and dep.) can be measured Methods: untag, semileptonic tag, full-recon tag Form factor not precisely known, only in limited q 2 (high q 2 ( >16 GeV 2 ) from Lattice, low q 2 ( <14 GeV 2 ) from light cone sum rule)
Mikihiko Nakao p.38 + + BABAR SL tag: B π l ν 2τ /τ + 3.31 ±.68 ±.42 + + BABAR Breco tag: B π l ν 2τ /τ + 1.6 ±.41 ±.21 BELLE SL tag: B 1.37 ±.24 ±.17 + + π l + BABAR SL tag: B π - l 1.2 ±.25 ±.13 BELLE SL tag: B 1.46 ±.2 ±.16 BABAR Breco tag: B - + π l ν 2τ /τ + - + π l ν 1.14 ±.27 ±.17 + CLEO untagged: B π l ν 1.32 ±.18 ±.13 + BABAR untagged: B π l ν 1.38 ±.1 ±.18 - + Average: B π l ν 1.34 ±.8 ±.8 ν ν Ball-Zwicky full q2 3.36 ±.15 +.66 -.41 HPQCD full q2 3.81 ±.16 +.82 -.5 FNAL full q2 3.74 ±.16 +.86 -.51 APE full q2 3.53 ±.15 + 1.8 -.56 χ 2 /dof = 8.4/ 7 (CL = 3.1) -2 2 B(B - π l + HFAG Winter 26 ν ) [ 1-4 ] 2 4 V ub HFAG Winter 26 [ 1-3 ]